First slide

Functions (XII)

Question

The domain of the function $f (x) = \cos [\log (\frac{\sqrt{16 - x^{2}}}{3 - x})] is$

Moderate

A

(– 4, 4)
B

(– 4, 3)
C

(– ∞, – 4) ∪ (3, ∞)
D

None of these

Solution

f (x) is defined if $\frac{\sqrt{16 - x^{2}}}{3 - x} > 0$
$\begin{array}{l} \Rightarrow 16 - x^{2} > 0 and 3 - x > 0 \\ \Rightarrow (x - 4) (x + 4) < 0 and x < 3 \\ \Rightarrow - 4 < x < 4 and x < 3 or - 4 < x < 3 \end{array}$
Domain of f = (– 4, 3).

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App